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An energy and momentum conserving method for rigid–flexible body dynamics
Author(s) -
Puso Michael Anthony
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.342
Subject(s) - rigid body , rigid body dynamics , angular momentum , classical mechanics , coupling (piping) , dynamics (music) , momentum (technical analysis) , work (physics) , focus (optics) , stability (learning theory) , conservation of energy , physics , computer science , engineering , mechanical engineering , optics , finance , machine learning , acoustics , economics , thermodynamics
In this work, an energy and momentum conserving method is developed for doing coupled flexible and rigid body dynamics. The main focus is on the bilateral connection of flexible finite elements to rigid bodies. The coupling of rigid bodies at joints is also introduced. Existing conserving algorithms for individual (un‐coupled) rigid and flexible bodies are exploited and modified for the coupled system. By using the appropriate rigid body rotational update and generalized force definitions, the resulting rigid–flexible and rigid–rigid systems are unconditionally stable and conserve linear and angular momentum. The conservation and stability properties are demonstrated in numerical simulation. Published in 2001 by John Wiley & Sons, Ltd.